Question

5
type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
a coat hanger is in the shape of isosceles triangle abc shown in the figure. sides ab and bc are congruent.
if ( mangle bac = 22^{circ} ), then ( mangle abc = )
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Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle \(ABC\) with \(AB = BC\), \(\angle BAC=\angle BCA = 22^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(\angle ABC=x\). Then \(x + 22^{\circ}+22^{\circ}=180^{\circ}\).

$$x=180^{\circ}-(22^{\circ}+22^{\circ})$$

$$x = 180^{\circ}-44^{\circ}$$

$$x = 136^{\circ}$$

Answer:

\(136\)